Questions from College Mathematics


Q: How many 5-digit ZIP code numbers are possible? How

How many 5-digit ZIP code numbers are possible? How many of these numbers contain no repeated digits?

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Q: Explain how three sets, A, B, and C,

Explain how three sets, A, B, and C, can be related to each other in order for the following equation to hold true (Venn diagrams may be helpful):

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Q: Refer to the following Venn diagram. / Which

Refer to the following Venn diagram. Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint?

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Q: If $2,000 is invested at 7% compounded

If $2,000 is invested at 7% compounded (A) annually (B) quarterly (C) monthly what is the amount after 5 years? How much interest is earned?

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Q: Refer to the following Venn diagram. / Which

Refer to the following Venn diagram. Which of the numbers x, y, z, or w must equal 0 if A ∪ B = U?

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Q: A class of 30 music students includes 13 who play the piano

A class of 30 music students includes 13 who play the piano, 16 who play the guitar, and 5 who play both the piano and the guitar. How many students in the class play neither instrument?

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Q: A high school football team with 40 players includes 16 players who

A high school football team with 40 players includes 16 players who played offense last year, 17 who played defense, and 12 who were not on last year’s team. How many players from last year played bot...

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Q: A corporation plans to fill 2 different positions for vice-president

A corporation plans to fill 2 different positions for vice-president, V1 and V2, from administrative officers in 2 of its manufacturing plants. Plant A has 6 officers and plant B has 8. How many ways...

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Q: A manufacturing company in city A wishes to truck its product to

A manufacturing company in city A wishes to truck its product to 4 different cities: B, C, D, and E. If roads interconnect all 4 cities, how many different route plans can be constructed so that a sin...

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Q: A survey of 800 small businesses indicates that 250 own a video

A survey of 800 small businesses indicates that 250 own a video conferencing system, 420 own projection equipment, and 180 own a video conferencing system and projection equipment. (A) How many busin...

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